Question

From the data given below state which group is more variable, A or B?
Marks
10-20
20-30
30-40
40-50
50-60
60-70
70-80

Group A
9
17
32
33
40
10
9

Group B
10
20
30
25
43
15
7

Answer 1

Answer:

Group B is  more Variable

Step-by-step explanation:

Mean for Group A  = 44.6

Standard deviation  A = 15.09

Coefficient of Variation of A = 100 * Standard deviation / Mean

= 100 * 15.09/44.6

= 33.8

Mean for Group B  = 44.6

Standard deviation  B = 19.86

Coefficient of Variation of B = Standard deviation / Mean

= 100 * 19.86/44.6

= 44.5

44.5 > 33.8

=> Group B is  more Variable